Drinfeld-Sokolov reduction on a simple Lie algebra from the bihamiltonian point of view
type: Item
instance of: scholarly article
title: Drinfeld-Sokolov reduction on a simple Lie algebra from the bihamiltonian point of view
zbMATH Open document ID: 0767.58019
DOI: 10.1007/BF00398305
author: P. Casati
author: Marco Pedroni
published in: Letters in Mathematical Physics
publication date: 1992-11-29T00:00:00Z
review text: This paper is a part of a project of F. Magri's group, aiming to frame all the properties of soliton equations in the theory of bihamiltonian systems. It is shown that the Drinfeld-Sobolev reduction is a particular case of a reduction process for Poisson manifolds suggested by Marsden and Ratiu.
Mathematics Subject Classification ID: 37J35
Mathematics Subject Classification ID: 37K10
Mathematics Subject Classification ID: 35Q53
zbMATH DE Number: 69960
zbMATH Keywords: soliton equations
zbMATH Keywords: bihamiltonian systems
zbMATH Keywords: Drinfeld-Sobolev reduction
zbMATH Keywords: Poisson manifolds
Wikidata QID: Q115395077
reviewed by: B. Konopelchenko
MaRDI profile type: Publication
cites work: Lie algebras and equations of Korteweg-de Vries type
cites work: Q4036971
cites work: Reduction of Poisson manifolds
cites work: Lie Group Representations on Polynomial Rings
cites work: The Principal Three-Dimensional Subgroup and the Betti Numbers of a Complex Simple Lie Group
description: scientific article; zbMATH DE number 69960